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melisa1 [442]
3 years ago
6

The sum of two integers is 54 and their difference is 10.

Mathematics
1 answer:
Mama L [17]3 years ago
7 0

Solve for x first

X+y=54

X-y=10


Add


2x=64


Divide

X=64/2


X= 32


So now get one equation and substitute x to solve for y


32+y=54


Y=54-32


Y= 22


So your two numbers is 32 and 22.


To check substitute

32+22=54

32-22=10


They check

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Solve the following equation then place the correct number in the box provided. X/3 - 4 = 10
ivann1987 [24]
X = 42

x/3 - 4 = 10
+ 4 +4
x/3 = 14
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x = 42
4 0
3 years ago
How do i complete the square for this equation ? x^2+ 8x+y^2-2y=64
liraira [26]
<span>Simplifying x2 + 8x + y2 + -2y = 64
 Reorder the terms: 8x + x2 + -2y + y2 = 64 Solving 8x + x2 + -2y + y2 = 64 Solving for variable 'x'.
 Reorder the terms: -64 + 8x + x2 + -2y + y2 = 64 + -64
  Combine like terms: 64 + -64 = 0 -64 + 8x + x2 + -2y + y2 = 0


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4 0
3 years ago
A truck can travel 1200 miles on 80 gallons of gasoline. how far can it travel on 240 gallons of gasoline ? Show your work
pogonyaev

Answer:

3600 miles on 240 gal

Step-by-step explanation:

80 gal can go 1200

160 gal can go 2400

240 gal can go 3600

7 0
2 years ago
Read 2 more answers
What is 11.52/128 show your work
grandymaker [24]

Answer:

The answer is

<h2>9/100</h2>

Step-by-step explanation:

11.5/128

First convert the decimal to an improper fraction

That's

11.52 =  \frac{288}{25}

So we have

\frac{288}{25}  \div 128

Change the division sign to multiplication sign and reverse the second number

That's

\frac{288}{25}  \times  \frac{1}{128}

Simplify

\frac{288}{3200}

Divide through by 32

The final answer is

\frac{9}{100}

Hope this helps you

6 0
3 years ago
Why are there 27 cubic feet in one cubic yard
kobusy [5.1K]

One cubic yard is equal to 27 cubic feet because one yard is equal to 3 feet

<em><u>Solution:</u></em>

Given that, there 27 cubic feet in one cubic yard

Yard and feet are units of distance

1 Yard (yd) is equal to 3 feet (ft). To convert yards to feet, multiply the yard value by 3.

<em><u>The conversion factor for 1 yard to 1 feet is given as:</u></em>

1 \text{ yard } = 3 \text{ foot }

Now find for 1 cubic yard . Cubic yard means yard raised to power 3

Therefore,

1\ yard^3 = (3)^3\ feet^3\\\\1\ yard^3 = 27 feet^3\\\\1\ cubic\ yard = 27\ cubic\ feet

Thus one cubic yard is equal to 27 cubic feet

Therefore, there are 27 cubic feet in one cubic feet

8 0
3 years ago
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